Complex Analysis

Zusatztext "Elias M. Stein! Winner of the 2005 Stefan Bergman Prize! American Mathematical Society" Informationen zum Autor Elias M. Stein & Rami Shakarchi Klappentext With this second volume, we enter the intriguing world of complex analysis. From the first theorems on, the elegance and sweep of the results is evident. The book begins with the main properties of holomorphic functions: the Cauchy theorems, residues, analytic continuation, and the argument principle. Then, the reader is introduced to a wealth of additional material connecting the subject with other areas of mathematics: the Fourier transform treated by contour integration, the zeta function and the prime number theorem, and an introduction to elliptic functions culminating in their application to combinatorics and number theory. Zusammenfassung Intended for the students of mathematics, physics, engineering and other sciences, this second volume, in a three-part introduction to the subject, introduces the core areas of mathematical analysis while also illustrating the organic unity between them. It includes numerous examples and applications. Inhaltsverzeichnis 7946016

Dettagli sul prodotto

• Autori: R Shakarchi, Rami Shakarchi, Shakarchi Rami, E Stein, Elias M Stein, Elias M. Stein, Stein Elias M.
• Editore: Princeton University Press
• Lingue: Inglese
• Formato: Copertina rigida
• Pubblicazione: 23.05.2003
• EAN: 9780691113852
• ISBN: 978-0-691-11385-2
• Pagine: 400
• Dimensioni: 164 mm x 242 mm x 30 mm
• Categorie: Scienze naturali, medicina, informatica, tecnica > Matematica > Analisi; MATHEMATICS / Complex Analysis, Complex analysis, complex variables